Design of rapid exponential integral nonlinear tracking differentiator. Issue 7 (3rd July 2022)

• Record Type: Journal Article
• Authors: Chen, Zhenzhen; Zong, Xiju; Tang, Wenjie; Huang, Danhui
• Is Part Of: International journal of control. Volume 95:Issue 7(2022)
• Page Start: 1759
• Page End: 1766
• Publication Date: 2022-07-03
• Subjects: Tracking differentiator -- exponential integral function -- terminal attractor function -- Lyapunov function -- parameter tuning; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2021.1871655
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: In this paper, a tracking differentiator with novel acceleration function is proposed. An exponential integral function with adjustable slope near the equilibrium point is designed as an acceleration function to construct the tracking differentiator. By adding the linear function and the terminal attractor function to the tracking differentiator, the tracking performance and response speed are improved compared with the existing acceleration function. The frequency domain characteristics are analyzed based on the least squares sweep test and the stability is proved by Lyapunov method. Numerical simulations show that the rapid exponential integral nonlinear tracking differentiator can effectively suppress the high-frequency noise and make the tracking input signal more accurate.